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Finding the Third Proportional to 299,990 and 465,111

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Solution

The third proportional to 299,990 and 465,111 is: 721,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,990 : 465,111 = 465,111 : x
  2. Step 2: Convert to fraction form
    299,990/465,111 = 465,111/x
  3. Step 3: Cross multiply
    299,990x = 465,111 × 465,111
  4. Step 4: Simplify right side
    299,990x = 216,328,242,321
  5. Step 5: Solve for x
    x = 216,328,242,321/299,990
  6. Step 6: Final answer
    x = 721,118.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.